Erlaubte und verbotene Gebiete bei der Bewegung elektrisch geladener Teilchen in axial-symmetrischen Magnetfeldern

Abstract

The trajectories of a charged particle in a magnetic field of rotational symmetry can be characterized by their two integrals of motion: the kinetic energy I₂ ² and the generalized angular momentum I₁. Orbits with different values of I₁ and I₂ correspond to different points in the I₁ — I₂-plane. By the aid of this I₁ — I₂-diagram we easily can get a survey of the allowed and forbidden regions in the meridional plane. In another diagram the boundaries of these regions are transformed into straight lines. Both methods are applied to the field of a magnetic dipole and to that of a circular line-current. By the example of the circular current it is shown how the problem of the so-called particle-loss can be attacked.